What is the Least Common Multiple of 55230 and 55240?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 55230 and 55240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55230 and 55240, than apply into the LCM equation.

GCF(55230,55240) = 10
LCM(55230,55240) = ( 55230 × 55240) / 10
LCM(55230,55240) = 3050905200 / 10
LCM(55230,55240) = 305090520

Least Common Multiple (LCM) of 55230 and 55240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55230 and 55240. First we will calculate the prime factors of 55230 and 55240.

Prime Factorization of 55230

Prime Factorization of 55240

Now multiplying the highest exponent prime factors to calculate the LCM of 55230 and 55240.

LCM(55230,55240) = 2³ × 3¹ × 5¹ × 7¹ × 263¹ × 1381¹
LCM(55230,55240) = 305090520